Determine if each answer choice represents a proportional or non-proportional linear relationship. Drag each answer choice to the correct column. The order does not matter.

Question

Answer Choices:
A cellphone company charges $19.95 per month for the first 2G of data usage, then $5 per gig of usage over the initial 2G
y-intercept is not the origin
A cellphone company charges $29.95 per month for unlimited data usage.
Direct Variation
y = 5x + 1
y = -7x
y = x
4y = 2x

Answer 1

Proportional Linear Relationship:
A cellphone company charges $19.95 per month for the first 2G of data usage, then $5 per gig of usage over the initial 2G
Direct Variation
y = x

Non-Proportional Linear Relationship:
A cellphone company charges $29.95 per month for unlimited data usage.
y-intercept is not the origin
y = 5x + 1
y = -7x
4y = 2x

Answer 2

Okay, what is a proportional linear relationship, and how is it different from proportional relationship?

Answer 3

A proportional linear relationship is a type of relationship where the ratio between the dependent and independent variables is always the same. In other words, the relationship between the two variables can be represented by a straight line that passes through the origin (0,0). The equation of a proportional linear relationship is y = kx, where k represents the constant of proportionality.

On the other hand, a proportional relationship is a broader concept that includes any relationship where the ratio between two quantities is constant. It does not necessarily have to be a linear relationship or pass through the origin.

Answer 4

Find the slope of the line represented by the table of values.

table:
y - -5, -2, 1, 4, 7
x - 10, 5, 0 -5, -10

A. 3/5
B. 5/3
C. -3/5
D. -5/3